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Finding the Fourth Proportional to 2,749.48, 3,794.26 and 1,490.52

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Solution

The fourth proportional to 2,749.48, 3,794.26 and 1,490.52 is: 2,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.48 : 3,794.26 = 1,490.52 : x
  2. Step 2: Convert to fraction form
    2,749.48/3,794.26 = 1,490.52/x
  3. Step 3: Cross multiply
    2,749.48x = 3,794.26 × 1,490.52
  4. Step 4: Simplify right side
    2,749.48x = 5,655,420.42
  5. Step 5: Solve for x
    x = 5,655,420.42/2,749.48
  6. Step 6: Final answer
    x = 2,056.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.